A linear equation in n variables, x1, x2, ..., xn is an equation of the form
a1x1 + a2x2 + ... + anxn = y where the ai are constants.
A system of linear equations is a set of m linear equations in n unknown variables. There need not be any relationship between m and n. The system may have none, one or many solutions.
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The solution of a system of linear equations is a pair of values that make both of the equations true.
It is a system of linear equations which does not have a solution.
A system of linear equations.
The coordinates of the point of intersection represents the solution to the linear equations.
A system of linear equations can only have: no solution, one solution, or infinitely many solutions.